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Study about the Process Control of an Electric Arc Furnace using
Simulations based on an Adaptive Algorithm
MANUELA PANOIU1, CAIUS PANOIU1, IOAN ŞORA2, ANCA IORDAN1
1
Faculty of Engineering Hunedoara,2Faculty of Electrical Engineering
Polytechnic University of Timisoara1Revolutiei street nr. 5, cod 331128
2Vasile Parvan street, no. 2, Timisoara, cod 300223
ROMANIA
{c.panoiu, m.panoiu, anca.iordan}@fih.upt.ro, [email protected]
Abstract: - The electric arc furnaces are a very large power load, determining the negative effects on the power
quality (harmonics currents, unbalanced load, and reactive power). For a maximum efficiency of the power
consumption it is necessary to use an automat system for control the harmonics filters, the reactive power
compensation installation and the electrodes position, in order to obtain a high value of power factor and a
maximum efficiency. In this paper is used an adaptive algorithm for process control for an Electric Arc
Furnace. The method is validating using simulation in PSCAD EMTDC software dedicated to Power Systems.
Key-Words: - Adaptive control, LMS algorithm, active power control
1 IntroductionIn the last decade the EAF (Electric Arc
Furnaces) are very large used to the steel making
industry. But, the electrical installation of the
electric arc furnace is a massive generator of thereactive power, harmonics currents and unbalanced
currents. These effects are very harmful for the
electric power supplying line and for the others
consumers. Because the inductive load character of
the electric arc furnace, the reactive power
component are significant, following to the
diminution of the active power factor and therefore
to the decreasing of the efficiency of the electric arc
furnace. In scope of improving the efficiency of the
entire installation it is necessary to use a complex
installation for reactive power compensation,
harmonics current filters and load balancing. Theseinstallations must be connected to an automat
system for an efficient real–time control.
2 Designing the control system of the
EAFThe design of the control system was made
following the measurements made in an industrial
plant. The measurements were made at a 3-phase
power supply installation of a 3-phase EAF of 100 t,
to which were not connected the filters for thecurrent harmonics, neither the load symmetrisation
devices nor reactive power compensation. The
detailed results of these measurements were
presented in [7]. From the ones previously presented
resulted that the elements that contribute to the
development of an action concerning theimprovement of the electric power’s quality can be
grouped in:
- the capacitors fix battery in Y connection used
for compensation of the constant reactive power;
- 14 capacitors battery independently
connectable, in Y connection , used for
compensation of the variable reactive power;
- an Adaptable Balancing Compensator (ABC)
achieved with 3 susceptances controlled by
thyristors in Δ connection used for load
balancing as well as for the compensation of the
difference between the reactive power installedin the capacitors’ batteries and harmonic filters
and the necessary of reactive power until the
obtaining of a unitary power factor;
- 4 filtration blocks of filter in Y connection used
for filtration of current harmonics 5,7,11 and 13.
Using of these installations aiming the
fulfillment of the functions for which they were
designed need the utilization of an intelligent system
of their control. The control system must allow the
on–line determination of the electric values of the
EAF’s installation. The system must also calculate
the necessary step for compensating the reactive power as well as the value of the susceptances
WSEAS TRANSACTIONS on
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necessary for load balancing. Based on these values,
having in view the chosen constructive solution of
adjustable susceptance with tyristors, is calculated
the control angle of each tyristor;
The diagram of the control system proposed to
be used at the load’s compensation – balancing –
filtration is depicted in fig. 1. In [7], [8] and [5] was
calculated the values of these elements.
Fig. 1.The system diagram for process control of the EAF
3 Simulation of the EAF functioningFor validating the proposed control system it was
made a simulation of the EAF using PSCAD
EMTDC simulation program [10]. For simulation it
was use an electric arc model, depending on the
nonlinearity of the electric arc. This model was
presented in [7] and [8]. Based on this model it was
made a simulation for the entire electrical
installation of the EAF and for the propose control
system. The PSCAD simulation scheme is depicted
in fig. 2.
3.1 The EAF functioning simulation on
controlling the electrodes positionThe electrical items variation in different
functioning regimes can be done only if we consider
an arc length variation between 0, corresponding to
the short-circuit regime, and a maximum value. The
maximum value is determined in such a way that the
electric arc is burning. For observing the variation
area of the powers on the supplying line the active
power meters and reactive power meters was
connecting like in figure 2. The outputs of these
meters permit to obtain the rms values.
The electrodes position controlling is performed
taking into account on the real condition existing on
the considered industrial plant. The maximum
motion speed of the electrodes is of 3 m/min (0.05
m/s) and is reached in emergency regime, its
variation being achieved as in fig. 2; The electric
arc’s length can be modified from zero to a
maximum value determined by limiting the
integrator’s output, fig. 2; The calculus of the dropvoltage is made based on the electric arc model ([7],
[8]), the implementation diagram being also in fig.
2; The electric arc’s length can be modified from
zero to a maximum value. Adjustment of the
electrodes’ position is made independently on each
phase. Simulation of the electric installation’s
operation modifying the electric arc’s length was
made initially without harmonics filters, power
compensation or load balancing. It was considering
the electric arc’s initial value as well as
the electrodes’ initial speed
cm160 =l
321 0=== vvv m/min.Then, was command the lowering-down of the
Impulse Generator Block
for Thiristros Command
(IGBTC)
Ssc=1100 MVA (min.)
FA5 FA7 FA11 FA1314 steps
ADAPTING BLOCK
(AB)
Data acquisition
board
Contactors Block
Command (CBC)
160 MVA3 x TT
30 KV3 x TC
ABC
Furnace
transformer
6 analog
signals
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electrodes up to the fulfillment of the short-circuit
condition. After approximate 8 seconds it was
command, independently on each phase, the lifting-
up of the electrodes with different speeds up to the
considered maximum length of the electric arc
cm26max =l .
Um1
Um2
Im1
Im2
v1
Im3
Um3
Q
P ow er
A B
P Q
A
B
C
A
B
C
.000001 [ohm]
.000001 [ohm]
.000001 [ohm]
P
v2 v3
RMS
Uth1 Uth2 Uth3
A
B Compar-ator 0.0
D+
F
+
-0.5
*
2.0
*
Uth1
A
D+
F
+*
B
l1
Measure acpower
tive
l1
l0
D+
F
+*
v1
l1 l2 l3
TIME
1sT
The threephase electricarc model
A
B
C
A
B
C0.565 [kV]
#2#1
30kV
73.0 [MVA]6.9 e-3 [ohm]9.5422 E-6 [H]
3.64 e-3 [ohm]
0.372e-3[ohm]
8.9416 e-6 [H]
9.5422 e-6 [H]
Ul2
Ul1
RA 1 +
RA 2 +
RA 3 +
IA1
IA2
IA3
Ul3
RMS
RL
RL
A
B
C
RL
A
B
C
A
B
C30 [kV]
#2#1
110 [kV]
100 [MVA]
Electrodes speed control
0.05
-0.05
v1 (m/s)
-0.001
0.05
-0.05
v2 (m/s)
-0.001
0.05
-0.05
v3 (m/s)
-0.011
The HV-MV
transformer
T
(Fu
he MV-LV transformer
rnace transformer)
Measurereactive power
Arc length onphase 1
Arc speed onphase 1
The drop (threshold)voltage on phase 1
Fig. 2. The PSCAD simulation scheme for measure active power and reactive power.
The calculus of the arc length based on the electrodes speed
In this way it was covered practically the entire
operation domain, from the short-circuit regime up
to the fulfillment of the conditions in which the
electric arc does not ignite anymore. The simulationresults are presented in fig. 3 and 4. One can
observe that the highest value of the active power is
obtained when the value of the arc length is
aprox.16 cm. The reactive power is positive
regardless the working regime, having values
between 15-100 MVAR, being therefore necessary
the utilization of the reactive power’s compensation
installation. One can observe that the domain in
which the reactive power should be compensate is
higher than the one chosen in case of designing the
reactive power’s compensation installation from [8].
This is due to the fact that the simulation includedalso the short-circuit regime where the reactive
power, considering the symmetrical short network,
has, according to the circle’s diagram, the value
MVARS Q cnsc 23,1032 =⋅=
(1)In the electrodes’ short-circuit regime are obtained
maximum values of the currents on the three phases,
on the both supply lines and minimum values of the
voltages, fact due to the high loading of the 3-phase
transformers. The rms values of the currents and
voltages, fig. 3, are different between the phases
because the different values of the load impedance
and because of the different values of the arc lengths
on each phase. The different values of the load
impedances are obtained from the values of the
resistances and inductivities from relation (2) and
(3). These are the real values from the electrical
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installation of an EAF in an industrial plant in
Romania.
,0372,0
,3640,0
,6908,0
3
2
1
Ω=
Ω=
Ω=
m R
m R
m R
r
r
r
(2)
.9416,8
,5422,9
2
31
H L
H L L
r
r r
μ
μ
=
== (3)
0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0
0
20
40
60
80
100
120
140
160
180
A r c c u r r e n t ( k A )
IA1 IA2 IA3
0.000
0.050
0.100
0.150
0.200
0.250
0.300
0.350
0.400
V o l t a g e i n s e c . f u r n a c e t r a n s f
Uj1 Uj2 Uj3
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
C u r r e n t i n p r i m a r y f u r n a c e t r a n s f .
Im1 Im2 Im3
0.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
16.0
18.0
V o l t a g e i n p r i m a r y f u r n a c e t r a n s f .
Um1 Um2 Um3
Fig. 3 The rms values for currents and voltages in the secondary in primary voltage transformer
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0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0
0
25
50
A c t i v e p o w e r ( M W )
P
0
25
50
75
100
125
150
R e a c t i v e
p o w e r ( M V A R )
Q
0.0000.050
0.100
0.150
0.200
0.250
0.300
0.350
0.400
A r c d r o p v o l t a g e ( k V )
Ust1 Ust2 Ust3
0.000
0.050
0.100
0.150
0.200
0.250
0.300
A r c l e n g t h ( m )
l1 l2 l3
-0.0100
-0.0050
0.0000
0.0050
0.0100
0.0150
0.0200
0.0250
0.0300
0.0350
E l e c t r o d e s s p e e d
v1 v2 v3
Shortcircuitregime
Maximum arclength
Fig. 4. The variation of active and reactive power, drop voltage, arc length and electrodes speed
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3.2 Simulation of the active power control
system’s operation following the reactive
power’s compensation and filtration of the
harmonic currentsTo simulate the operation of the power control
system in different regimes using the reactive power’s filtration and compensation installation, it
was used the diagram presented in fig. 5. This
condition contains the 4 filters on the harmonics
5,7,11 and 13 and the reactive power compensation
installation composed by the constant part (in Y
connection) and the adjustable part in steps. The
values of the elements are the ones designed in [7]
and [8].
RL
RL
A
B
C
RL
A
B
C
A
B
C30 [kV]
#2#1
110 [kV]
100 [MVA] A
B
C
A
B
C0.6 [kV]
#2#1
30kV
73.0 [MVA]0.00000934 [H]
0.00000934H
0.00000934 [H]
Uj2
Um1
Um2
Im1
Im2
The passive filters for 5, 7, 11 and 13harmonics
Furnacetransformer
Uj3
Im3
Um3
Uj1
P ow er
A B
P Q
A
B
C
A
B
C
.1 [ohm]
.1 [ohm]
.1 [ohm]
PRMS
RMS
A
B Compar-ator 0.0
D+
F
+
-0.5
*
2.0
*Q
4 7 . 5
2 [ u F ]
4 7 . 5
2 [ u F ]
4 7 . 5
2 [ u F ]
C +
C +
C +
0 . 0 1 7 5 9 [ H ]
2 3 . 0 4 [ uF ]
0 . 0 1 7 5 9 [ H ]
2 3 . 0 4 [ uF ]
0 . 0 1 7 5 9 [ H ]
2 3 . 0 4 [ uF ]
0 . 0 2 3 9 3 [ H ]
8 . 6 4 [ uF ]
0 . 0 2 3 9 3 [ H ]
8 . 6 4 [ uF ]
0 . 0 2 3 9 3 [ H ]
8 . 6 4 [ uF ]
0 . 0 1 4 5 4 [ H ]
5 .7 6 [ uF ]
0 . 0 1 4 5 4 [ H ]
5 .7 6 uF ]
0 . 0 1 4 5 4 [ H ]
5 .7 6 [ uF ]
0 . 0 1 0 4 1 [ H ]
5 .7 6 uF ]
0 . 0 1 0 4 1 [ H ]
5 .7 6 uF ]
0 . 0 1 0 4 1 H ]
5 .7 6 [ uF ]
P
The threephase electricarc model
6.9 e-3 [ohm]
3.64 e-3 [ohm]
0.372e-3[ohm]
RA 1 +
RA 2 +
RA 3 +
HV-MVtransformer The three
phase variablecapacities
Fig. 5. The PSCAD simulation scheme for EAF with harmonics filters and power compensation installation
To ensure the reactive power’s compensation on the
entire duration of the active power’s control process
it is necessary that, depending on the reactive
power’s momentary value, to connect or disconnectone compensation step at a time.
Choosing of the compensation step is made as
follow:
- If the reactive power is situated within the
range –4,00 ÷ 4,00 MVAR the
compensation step does not modify;
- If the reactive power is higher than 4,00
MVAR a new compensation step will be
introduced;
- If the reactive power is lower than - 4,00
MVAR a compensation step will bedisconnected.
The PSCAD simulation scheme for choosing
compensation step is depicted in fig. 6.
In [10] was presented the powers dependency by the
drop voltage. Thus, in [10] was show that active power reaches up to a maximum value for a certain
value of the drop voltage. Therefore, the active
power dependency by the drop voltage is a
monotone increasing function for drop voltage
values between 0 and a value corresponding to
maximum active power. For these values the
dependency of active power/drop voltage is a
bijective function. Because the drop voltage
depends linearly by the electric arc’s length, it
results that also the active power depends on the
electric arc’s length. Based on these remarks, the
active power’s iterative adjustment algorithm
proposed by the de authors is based on the
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modification of the electric arc’s length depending
on the active power desired to be obtained.
Assuming that at iteration n the arc’s length is ( )nl ,and the active power is ( )nP , the arc’s length atiteration will be given by the relation1+n
( ) ( ) (nenlnl ⋅+=+ )α 1 (4)where
(5)( ) ( )nPPne −= 0are the error by which is obtained the imposed
active power P0 at iteration n, and α represents an
adapting factor. It is obvious that if the value of the
active power obtained at iteration n is higher than
the value of the imposed active power P0 is
necessary to reduce the electric arc’s length and
opposite, fact ensured by the presented algorithm.
[9], [11]. This algorithm is known as the LMS
algorithm (Least Mean Square) or the stochastic
gradient’s algorithm, being, due to its simplicity, the
most used algorithm implemented in the current
systems. Choosing of the adapting factor’s values is
made taking into account its influence upon the
algorithm’s main characteristics: the algorithm’s
convergence speed and the adjustment error.
Were obtained the results presented in fig. 7 for an
adapting factor’s value 000001,0=α and in figure 8
for an adapting factor’s value α=0,000005.
.
Determination of direction for reactive power compensation
The calculus of equivalent capacity
D+
F
+14.4
Cstep
Q
f
f
*Cech
C
Clear
1sT
A
B Compar-ator
Mono-
T
stable A
B Compar-ator
Mono-
T
stable-4.17
4.17
*
-1.0
D+
F
+
CN
D
N/D
3.0
Fig. 6. The PSCAD simulation scheme for choosing compensation step. The calculus for equivalent capacity
4 Conclusion
By using harmonics filters, load balancing and
reactive power compensation the functioning regime
of the UHP EAF can be improve by controlling the
active power. For higher values of the adapting
factor allow the obtaining of higher convergence
speed of the control algorithm, but the dispersion
obtained around the desired value is higher, the
algorithm being possible to lose the convergence.
Smaller values of the adapting factor allow the
obtaining of a smaller dispersion of the system
output’s values but the convergence speed is
smaller.
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0.0 5.0 10.0 15.0 20.0
0
10
20
30
40
50
A c t i v e p o w e r ( M W )
P P0
0
1020
30
40
50
60
70
80
90
100
R e a c t i v e p o w e r ( M V A R )
Q
0
20
40
60
80
100
120
E q u i v a l e n t c a p a c i t y ( m i c r o F )
C
0.000
0.020
0.040
0.060
0.080
0.100
0.120
0.140
0.160
T h e a r c l e n g t h ( m )
l1 l2 l3
0.040
0.060
0.080
0.100
0.120
0.140
0.160
0.180
0.200
T h e a r c d r o p v o l t a g e ( k V )
Ust1 Ust2 Ust3
Fig. 7 Variation of active power (impose and simulated), reactive power, equivalent capacity, arc lengths and
drop voltages for α=0.000001
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0.0 5.0 10.0 15.0 20.0
0
10
20
30
40
50
A c t i v e p o w e r ( M W )
P P0
-20
-10
010
20
3040
50
60
70
80
90
R e a c t i v e
p o w e r ( M V A R )
Q
0
25
50
75
100
125
150
175
200
225
E q u i v a l e n t c a p a c i t y ( m i c r o F )
C
0.000
0.025
0.050
0.075
0.100
0.125
0.150
0.175
0.200
0.225
T h e a r c l e n g t h ( m )
l1 l2 l3
0.025
0.050
0.075
0.100
0.125
0.150
0.175
0.200
0.225
0.250
T h e a r c d r o p v o l t a g e ( k V )
Ust1 Ust2 Ust3
Fig. 7 Variation of active power (impose and simulated), reactive power, equivalent capacity, arc lengths and
drop voltages for α=0.000005
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References:
[1] “IEEE recommended practice for monitoring
electric power quality”. Standard IEEE std.
1159-1995
[2] Montanari, G.C., Loggini, M., Cavallini, A.,
Pitti, L., Zaminelli, D. (1994), Arc-Furnace
model for the Study of Flicker Compensation
in Electrical Networks, IEEE Transactions on
Power Delivery, vol. 9, No. 4, pg. 2026-2036.
[3] Tang, L., Kolluri, S., Mark, F. Mc-Granaghan,
Voltage Flicker Prediction for two
simultaneously operated Arc Furnaces, IEEE
Trans. on Power Delivery, vol. 12, No. 2, 1997.
[4] Panoiu M, Panoiu C, Modeling and simulating
the AC electric arc using PSCAD EMTDC,
Proceedings of the 5th WSEAS Int. Conf. onSystem Science and Simulation in Engineering,
Tenerife, Spain, Dec. 16-18, 2006
[5] Panoiu M., Panoiu C., Osaci M, Muscalagiu I.,
Simulation Result about harmonics filtering for
Improving the Functioning Regime of the UHP
EAF, Proceedings of the 7th WSEAS Int. Conf. on
Signal Processing, Computational Geometry and
Artificial Vision ,Vouliagmeni Beach, Athens,
Greece, Aug. 24-26, 2007, pg. 71-76
[6] Panoiu M., Panoiu C., Osaci M, Muscalagiu I.,
Simulation Results for Modeling the AC Electric
Arc as Nonlinear Element using PSCAD
EMTDC, WSEAS Transaction on circuits and
systems, pp 149-156. vol 6, 2007
[7] Panoiu M., Panoiu C., Osaci M, Muscalagiu I.,
Simulation Result about Harmonics Filtering
using Measurement of Some Electrical Items in
Electrical Installation on UHP EAF, WSEAS
Transaction on circuits and systems, vol 7, Jan
2008, pp 22-31.
[8] Panoiu M., Panoiu C., Sora I, Iordan A., Rob R.,
Using Simulation for study the Possibility of
Canceling Load Unbalance of non-sinusoidal
High Power three-phase Loads, WSEAS
TRANSACTIONS on SYSTEMS , Issue 7, Volume
7, July 2008, pp 699-710, ISSN: 1109-2777
[9] Alexander, S. T., Adaptive Signal Processing,
Springer Verlag New York Inc., 1986.[10] Panoiu M, Panoiu C, Sora I, Osaci M, About the
possibility of power controlling in the Three-
Phase Electric Arc Furnaces using PSCAD
EMTDC simulation program, Advances in
Electrical and Computer Engineering , vol. 7,
number 1 (27), 2007, ISSN 1582-7445, pp 38-43
[11] Yuu-Seng Lau; Hussian, Z.M.; Harris, R., A
time-dependent LMS algorithm for adaptive
filtering, WSEAS Transactions on Circuits and
Systems, v 3, n 1, Jan. 2004, p 35-42
[12] www.pscad.com
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INFORMATION SCIENCE and APPLICATIONS Manuela Panoiu, Caius Panoiu, Ioan Sora, Anca Iordan
ISSN: 1790-0832 1637 Issue 11, Volume 5, November 2008
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